Bee swarm relativity

Consider a special swarm of bees of constant size in which each bee always flys at a constant speed. A time keeper bee keeps time by means of a messenger bee that continously circles the swarm. Each time the messenger bee completes a round trip, the swarm's time advances one tick.

An identical stationary swarm, A, sends this swarm, B at swarm speed, V, to settle a new hive. Swarm A wants to start another journey when swarm B's time equals N ticks.

Now swarm A's time keeper bee needs an equation to determine when swarm B's time equals N ticks.

I wonder if this equation would resemble the transformations that help us determine relative things.